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arXiv · 2008.07526

Strong convergence theorem for Walsh-Kaczmarz-Fej\'er means

Nata Gogolashvili·Károly Nagy·George Tephnadze
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Abstract

As main result we prove that Fej\'er means of Walsh-Kaczmarz-Fourier series are uniformly bounded operators from the Hardy martingale space $\ H_{p}$ to the Hardy martingale space $H_{p}$ for $ 0<p\leq 1/2.$

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Nata Gogolashvili, Károly Nagy, George Tephnadze. 2020-08-17. Strong convergence theorem for Walsh-Kaczmarz-Fej\'er means. https://arxiv.org/abs/2008.07526

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